{
  "abstract": "We consider Hecke modules of orthogonal modular forms attached to definite even ternary lattices of half-discriminant $N^2$, where $N > 1$ is odd and square-free. We prove explicit Jacquet-Langlands style correspondences with spaces of classical modular forms (in the spirit of Birch and Hein-Tornaria-Voight). This is done by applying sequences of Watson-style transformations that reduce the discriminant while preserving the adelic orthogonal group.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.16505",
  "author_total": 3,
  "authors": [
    {
      "name": "Samadrito Bhattacharyya"
    },
    {
      "name": "Giovanna De Lauri"
    },
    {
      "name": "Dan Fretwell"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8ctt3gr8v5s31.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.16505",
  "fulltext_url": null,
  "id": "8ctt3gr8v5s31",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.16505",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2610|Advanced Algebra and Geometry"
    ]
  ],
  "openalex": "W7221770788",
  "pdf_url": "https://arxiv.org/pdf/2610.16505",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8ctt3gr8v5s31.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:15Z",
      "native_id": "2610.16505",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.16505"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Hecke modules associated to certain even ternary lattices of half-discriminant $\\mathbf{N^2}$",
  "title_text": "Hecke modules associated to certain even ternary lattices of half-discriminant N^2",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:15Z",
  "url": "https://research.draconitic.com/paper/8ctt3gr8v5s31",
  "venue": "arXiv",
  "versions": []
}